The lengths of large wooden beams are Normally distributed with mean 5 m and standard deviation 10 cm. The lengths of small wooden beams are Normally distributed with mean 1.5 m and standard deviation 8 cm. Calculate the probability that the combined length of three small beams laid end-to-end is greater than the length of one large beam. Give your answer to three decimal places.
The lengths of large wooden beams are Normally distributed with mean 5 m and standard deviation 10 cm. The lengths of small wooden beams are Normally distributed with mean 1.5 m and standard deviation 8 cm. Calculate the probability that the combined length of three small beams laid end-to-end is greater than the length of one large beam. Give your answer to three decimal places.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:The lengths of large wooden beams are Normally distributed with mean E
m and standard deviation 10 cm. The lengths of small wooden beams are
Normally distributed with mean 1.5 m and standard deviation 8 cm.
Calculate the probability that the combined length of three small beams
laid end-to-end is greater than the length of one large beam.
Give your answer to three decimal places.
Answer:
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